Solve 1+x=9x-6(x+3.5)+0.2

$$1 + x = 9 x - 6 ( x + 3.5 ) + 0.2$$

Solve for x

$$x=10.9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by x+3.5.

$$1+x=9x-6x-21+0.2$$

Combine 9x and -6x to get 3x.

$$1+x=3x-21+0.2$$

Add -21 and 0.2 to get -20.8.

$$1+x=3x-20.8$$

Subtract 3x from both sides.

$$1+x-3x=-20.8$$

Combine x and -3x to get -2x.

$$1-2x=-20.8$$

Subtract 1 from both sides.

$$-2x=-20.8-1$$

Subtract 1 from -20.8 to get -21.8.

$$-2x=-21.8$$

Divide both sides by -2.

$$x=\frac{-21.8}{-2}$$

Expand \frac{-21.8}{-2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-218}{-20}$$

Reduce the fraction \frac{-218}{-20} to lowest terms by extracting and canceling out -2.

$$x=\frac{109}{10}$$